Measure and Integration

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.

Author(s): S. Kesavan
Series: Texts and Readings in Mathematics 77
Edition: 1st
Publisher: Springer
Year: 2019

Language: English
Pages: 240
City: Singapore

Front Matter ....Pages I-viii
Measure (S. Kesavan)....Pages 9-29
The Lebesgue measure (S. Kesavan)....Pages 30-53
Measurable functions (S. Kesavan)....Pages 54-67
Convergence (S. Kesavan)....Pages 68-80
Integration (S. Kesavan)....Pages 81-117
Differentiation (S. Kesavan)....Pages 118-141
Change of variable (S. Kesavan)....Pages 142-155
Product Spaces (S. Kesavan)....Pages 156-177
Signed measures (S. Kesavan)....Pages 178-195
Lp-spaces (S. Kesavan)....Pages 196-234
Back Matter ....Pages 235-240